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Finding the Fourth Proportional to 612.34, 914.73 and 490.84

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Solution

The fourth proportional to 612.34, 914.73 and 490.84 is: 733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.34 : 914.73 = 490.84 : x
  2. Step 2: Convert to fraction form
    612.34/914.73 = 490.84/x
  3. Step 3: Cross multiply
    612.34x = 914.73 × 490.84
  4. Step 4: Simplify right side
    612.34x = 448,984.85
  5. Step 5: Solve for x
    x = 448,984.85/612.34
  6. Step 6: Final answer
    x = 733.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.